Paper 1 · Research Aptitude
The standard error is an estimate of the standard deviation of a statistic. It is a statistical measure of
AThe normal distribution of sample scores around the sample mean
BThe extent to which a sample mean differs from the population mean ✓ Correct
CThe clustering of scores at each end of a survey scale
DThe accuracy of the stratification of the sample
Correct answer: (B) The extent to which a sample mean differs from the population mean — The standard error measures the extent to which a sample mean differs from the population mean, so that is the answer.
Explanation
★The standard error measures the extent to which a sample mean differs from the population mean, so that is the answer.
★The standard error shows how much sample means would vary from sample to sample.
★So it measures how far a sample mean is likely to differ from the true population mean.
★It is not the distribution of individual sample scores around their own mean.
★It is not about the clustering of scores at the ends of a scale.
★It is not a check on stratification, so the standard error measures how far a sample mean differs from the population mean.
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